11505000655040 has 56 divisors (see below), whose sum is σ = 27398514306240. Its totient is φ = 4601625417728.

The previous prime is 11505000655039. The next prime is 11505000655103. The reversal of 11505000655040 is 4055600050511.

11505000655040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11505000654988 and 11505000655006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2487209 + ... + 5403351.

It is an arithmetic number, because the mean of its divisors is an integer number (489259184040).

Almost surely, 2^{11505000655040} is an apocalyptic number.

11505000655040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11505000655040 is an abundant number, since it is smaller than the sum of its proper divisors (15893513651200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11505000655040 is a wasteful number, since it uses less digits than its factorization.

11505000655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928489 (or 2928479 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

The spelling of 11505000655040 in words is "eleven trillion, five hundred five billion, six hundred fifty-five thousand, forty".